15-w=2(w-3)

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Solution for 15-w=2(w-3) equation:


Simplifying
15 + -1w = 2(w + -3)

Reorder the terms:
15 + -1w = 2(-3 + w)
15 + -1w = (-3 * 2 + w * 2)
15 + -1w = (-6 + 2w)

Solving
15 + -1w = -6 + 2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-2w' to each side of the equation.
15 + -1w + -2w = -6 + 2w + -2w

Combine like terms: -1w + -2w = -3w
15 + -3w = -6 + 2w + -2w

Combine like terms: 2w + -2w = 0
15 + -3w = -6 + 0
15 + -3w = -6

Add '-15' to each side of the equation.
15 + -15 + -3w = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -3w = -6 + -15
-3w = -6 + -15

Combine like terms: -6 + -15 = -21
-3w = -21

Divide each side by '-3'.
w = 7

Simplifying
w = 7

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